Wang, M and Fu, Y (2021) Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation. International Journal of Engineering Science, 159. ISSN 0020-7225

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A weakly nonlinear analysis is conducted for localized necking of a hyperelastic solid cylinder under axial stretching based on the exact theory of nonlinear elasticity. The amplitude equation derived is shown to be consistent with the one-dimensional model recently proposed by Audoly and Hutchinson (J. Mech. Phys. Solids 97, 2016, 68–91). It is shown that results based on the infinite-length approximation are sufficiently accurate even for cylinders with very moderate length/diameter ratios. In contrast, a weakly nonlinear analysis based on the finite length is only valid for very stubby cylinders and for axial force much closer to its bifurcation value than anticipated.

Item Type: Article
Additional Information: The final version of this accepted manuscript can be found online at;!
Uncontrolled Keywords: Localized necking, Hyperelasticity, Nonlinear analysis, Bifurcation, Stability
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Related URLs:
Depositing User: Symplectic
Date Deposited: 18 Feb 2021 10:50
Last Modified: 03 Dec 2022 01:30

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